arXiv:2507.11531cs.LGq-bio.NC2025-07被引 1

用物理启发的随机动力学建模神经活动,精准捕捉群体动态与外部影响。

Langevin Flows for Modeling Neural Latent Dynamics

  • latent 变量演化由阻尼朗之万方程驱动,融合惯性、阻尼等物理先验。
  • 在洛伦兹吸引子生成的模拟数据上,放电率预测接近真实值。
  • 适合研究生物神经网络中复杂动态行为的建模与解码任务。

神经种群表现出驱动时变放电活动的潜在动态结构,促使人们寻找能同时捕捉内在网络动力学与未观测外部影响的模型。本文提出LangevinFlow,一种序列变分自编码器,其潜变量的时间演化由欠阻尼朗之万方程控制。该方法引入物理先验,如惯性、阻尼、可学习势函数及随机力,以表征神经系统的自治与非自治过程。关键在于,势函数被参数化为局部耦合振子网络,使模型偏向于生物神经种群中观察到的振荡与流式行为。模型包含循环编码器、单层Transformer解码器以及潜空间中的朗之万动力学。实验表明,在洛伦兹吸引子生成的合成神经种群上,该方法优于现有基线,放电率预测接近真实值;在神经潜变量基准(NLB)上,四项挑战性数据集的后验神经元似然(每尖峰比特数)和前向预测准确率均表现优异,并在手部速度等行为指标解码上达到或超越其他方法。整体而言,本工作提出了一种灵活、物理启发、高性能的神经种群动态建模框架。

原文摘要 · Abstract (English)

Neural populations exhibit latent dynamical structures that drive time-evolving spiking activities, motivating the search for models that capture both intrinsic network dynamics and external unobserved influences. In this work, we introduce LangevinFlow, a sequential Variational Auto-Encoder where the time evolution of latent variables is governed by the underdamped Langevin equation. Our approach incorporates physical priors -- such as inertia, damping, a learned potential function, and stochastic forces -- to represent both autonomous and non-autonomous processes in neural systems. Crucially, the potential function is parameterized as a network of locally coupled oscillators, biasing the model toward oscillatory and flow-like behaviors observed in biological neural populations. Our model features a recurrent encoder, a one-layer Transformer decoder, and Langevin dynamics in the latent space. Empirically, our method outperforms state-of-the-art baselines on synthetic neural populations generated by a Lorenz attractor, closely matching ground-truth firing rates. On the Neural Latents Benchmark (NLB), the model achieves superior held-out neuron likelihoods (bits per spike) and forward prediction accuracy across four challenging datasets. It also matches or surpasses alternative methods in decoding behavioral metrics such as hand velocity. Overall, this work introduces a flexible, physics-inspired, high-performing framework for modeling complex neural population dynamics and their unobserved influences.

神经动力学朗之万方程生成模型生物神经

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